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On Categorical Equivalence Between Formations of Monounary Algebras
A formation is a class of algebras that is closed under homomorphic images and finite subdirect products. Every formation can be considered as a category. We prove that two formations of monounaryExpand
Representing subalgebras as retracts of finite subdirect powers
We prove that if $\mathbb A$ is an algebra that is supernilpotent with respect to the $2$-term higher commutator, and $\mathbb B$ is a subalgebra of $\mathbb A$, then $\mathbb B$ is representable asExpand
On lattices of formations of monounary algebras with finitely many cycles
A formation is a class of algebras that is closed under homomorphic images and finite subdirect products. As already known the lattice of all formations of finite monounary algebras is distributive.Expand
On Heredity of Formations of Monounary Algebras
Volgograd State Socio-Pedagogical University, Russia, 400066, Volgograd, Lenin Ave., 27, rasal@fizmat.vspu.ruA class of algebraic systems is said to be a formation if it is closed under homomorphicExpand